J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    Which of the following would contain the same number of atoms as 20 g of calcium? [At. masses:\[Ca=40,Mg=24,C=12\]]

    A)  24 g of magnesium

    B)  12 got carbon

    C)  24 got carbon

    D)  12 g of magnesium

    Correct Answer: D

    Solution :

     \[\because \]Number of atoms in 40 g of \[Ca=6.022\times {{10}^{23}}\] (Avogadro's number) \[\therefore \]Number of atoms in 20 g of Ca \[=\frac{6.022\times {{10}^{23}}\times 20}{40}=3.011\times {{10}^{23}}\] Like this \[\because \] Number of atoms in 24 g of Mg \[=6.022\text{ }\times {{10}^{23}}\] \[\therefore \]Number of atoms in 12 g of Mg \[=\frac{6.022\times {{10}^{23}}\times 12}{24}=3.011\times {{10}^{23}}\] Like this \[\because \]Number of atoms in 24 g of Mg \[=6.022\times {{10}^{23}}\] \[\therefore \]Number of atoms in 12 g of Mg \[=\frac{6.022\times {{10}^{23}}\times 12}{24}=3.011\times {{10}^{23}}\]


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